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Finding the Fourth Proportional to 20,202.74, 30,295.31 and 6,872.12

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Solution

The fourth proportional to 20,202.74, 30,295.31 and 6,872.12 is: 10,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.74 : 30,295.31 = 6,872.12 : x
  2. Step 2: Convert to fraction form
    20,202.74/30,295.31 = 6,872.12/x
  3. Step 3: Cross multiply
    20,202.74x = 30,295.31 × 6,872.12
  4. Step 4: Simplify right side
    20,202.74x = 208,193,005.76
  5. Step 5: Solve for x
    x = 208,193,005.76/20,202.74
  6. Step 6: Final answer
    x = 10,305.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.